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FC-PINO enhances precision for physics-informed neural operators

Researchers have introduced FC-PINO, a novel architecture for Physics-Informed Neural Operators (PINOs) designed to enhance precision in solving partial differential equations (PDEs). Traditional PINO methods struggle with non-periodic functions due to spectral differentiation's assumption of periodicity, leading to accuracy degradation. FC-PINO integrates Fourier continuation techniques, specifically FC-Legendre and FC-Gram, to transform non-periodic signals into periodic ones on extended domains. This approach enables more accurate and robust derivative computations, significantly outperforming standard PINO on challenging benchmarks for non-periodic and non-smooth PDEs. AI

IMPACT This research could lead to more accurate and efficient AI models for scientific simulations and predictions in fields governed by PDEs.

RANK_REASON The cluster describes a new research paper introducing a novel method for solving partial differential equations using neural networks. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

FC-PINO enhances precision for physics-informed neural operators

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The cluster describes a new research paper introducing a novel method for solving partial differential equations using neural networks. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Adarsh Ganeshram, Valentin Duruisseaux, Haydn Maust, Zongyi Li, Yixuan Wang, Daniel Leibovici, Oscar Bruno, Thomas Hou, Anima Anandkumar ·

    FC-PINO: High Precision Physics-Informed Neural Operators via Fourier Continuation

    arXiv:2211.15960v4 Announce Type: replace Abstract: The physics-informed neural operator (PINO) is a machine learning paradigm that has demonstrated promising results for learning solutions to partial differential equations (PDEs). It leverages the Fourier Neural Operator to lear…